The course is now over! Thanks, everybody.
On this page, as an historical record, you may find lecture summaries by week, and five problem sets. They’re ordered reverse-chronologically, blog-style.
Since I made a big deal about everyone learning and using LaTeX, everything was posted in .tex, .dvi, and .pdf format. I inserted lots of comments in the source files with tips and explanations.
A quick remark on Nakayama’s Lemma (DVI format).
Documents
- Week 14 Summary
- .tex, .dvi, .pdf
comments on: the `ulem’ package, the `hyperref’ package
- Week 13 Summary
- .tex, .dvi, .pdf
comments on: \tableofcontents and its size, a sneaky trick for labelling diagrams in xypic.
- Week 12 Summary
- .tex, .dvi, .pdf
comments on: none.
- Week 11 Summary
- .tex, .dvi, .pdf
comments on: lots more font stuff (last week for this, I promise).
- Problem Set 5 — due Friday 21 April (updated 12 April with new due date and (more) typos fixed)
- .tex, .dvi, .pdf
comments: none
- Week 10 Summary
- .tex, .dvi, .pdf
comments on: swapnumbers, right-margin equation numbers, more fonts, small caps, \colon (and the nature of good and evil), \substack, and \ref vs. \eqref.
- Week 9 Summary
- .tex, .dvi, .pdf
comments on: various font declarations
- Problem Set 4 — due 29 March
- .tex, .dvi, .pdf
comments: none
- Week 8 Summary
- .tex, .dvi, .pdf
comments on: \setminus, starting enumerate environments on new lines, and \!
- Week 7 Summary
- .tex, .dvi, .pdf
comments on: \thispagestyle{empty} to get rid of page numbers, bibliographic citations, attribution of theorems, and the enumerate package
- Problem Set 3 — due 8 March
- .tex, .dvi, .pdf
comments: none
- Week 6 Summary
- .tex, .dvi, .pdf
comments on: the draft option for the amsart class, some new fonts, stealing ideas from the arXiv, \today, \mathbb, equation references with \eqref, curvy arrows with xypic, and stacking indices under big math operators
- Week 5 Summary
- .tex, .dvi, .pdf
comments on: spacing around footnote numbers, labels and references, the correct way to typesent n^th, extensible arrows, order of sub/superscripts, the multline environment, non-breaking spaces, curly braces, \text{}, and list-item labels.
- Problem Set 2 — due 22 February (updated!)
- .tex, .dvi, .pdf
comments on: more xypic diagrams, spacing with \qquad
- Week 4 Summary
- .tex, .dvi, .pdf
comments on: theorem environments
- Week 3 Summary
- .tex, .dvi, .pdf
comments on: special arrows, really sophisticated commutative diagrams with diagonal arrows (xypic), footnotes, and \cdots
- Problem Set 1 — due 7 February
- .tex, .dvi, .pdf
comments on: more sophisticated commutative diagrams, adjusting margins and linespacing, enumerating things, Greek letters, and bold type
- Week 2 Summary
- .tex, .dvi, .pdf
comments on: changing font size, the amscd package, operator names, commutative diagrams, display style, renewing commands, \to, spacing punctuation in displays, subscripts and superscripts
- Week 1 Summary
- .tex source, .dvi format, and .pdf format
comments deal with: comments, document classes, optional arguments, sections of the document, preamble data, smart quote-marks, emphasis, and \LaTeX
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